Time-Varying Systems

Unbiased estimation of human joint intrinsic mechanical properties during movement

The overall mechanical properties of a joint are generated by a combination intrinsic (mechanical) and reflex (neural) mechanisms. Nevertheless, many methods for estimating joint mechanical properties have used a linear dynamic model whose …

Identification of a time-varying, box-jenkins model of intrinsic joint compliance

The mechanical properties of a joint are determined by the combination of intrinsic and reflex mechanisms. However, in some situations the reflex contributions are small so that intrinsic mechanisms play the dominant role in the control of posture …

Estimation of time-varying, intrinsic and reflex dynamic joint stiffness during movement. Application to the ankle joint

Dynamic joint stiffness determines the relation between joint position and torque, and plays a vital role in the control of posture and movement. Dynamic joint stiffness can be quantified during quasi-stationary conditions using disturbance …

An instrumental variable approach for the identification of time-varying, Hammerstein systems

This paper introduces an iterative algorithm for the identification of time-varying (TV)-Hammerstein systems. This system is composed by a TV static nonlinearity followed by a TV Box-Jenkins linear model. The algorithm uses two basis function …

Methods for the Identification of Time-Varying Hammerstein Systems with Applications to the Study of Dynamic Joint Stiffness

The Hammerstein system provides a good model for the stretch reflex contribution to joint stiffness under quasi-stationary conditions. However, the model parameters change dramatically with the operating point defined by the joint angular position …

Parametric methods for identification of time-invariant and time-varying joint stiffness models

Joint stiffness has been extensively used to study joint biomechanics. It can be described by a block-oriented, nonlinear, parallel-cascade structure under quasi-stationary conditions defined by the joint operating point. The model parameters are …

Time-varying identification of ankle dynamic joint stiffness during movement with constant muscle activation

Dynamic joint stiffness defines the torque generated at the joint in response to position perturbations. Dynamic stiffness is modulated by the angular position and the muscle activation level, making it difficult to estimate during large movements …